結果

問題 No.1741 Arrays and XOR Procedure
ユーザー ForestedForested
提出日時 2021-11-12 22:06:18
言語 C++17
(gcc 12.3.0 + boost 1.83.0)
結果
WA  
実行時間 -
コード長 6,925 bytes
コンパイル時間 1,213 ms
コンパイル使用メモリ 118,704 KB
実行使用メモリ 5,376 KB
最終ジャッジ日時 2024-05-04 08:55:00
合計ジャッジ時間 3,017 ms
ジャッジサーバーID
（参考情報） 		judge3 / judge5
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テストケース

テストケース表示
入力 結果 実行時間
実行使用メモリ
testcase_00 AC 1 ms
5,248 KB
testcase_01 AC 1 ms
5,376 KB
testcase_02 AC 2 ms
5,376 KB
testcase_03 AC 41 ms
5,376 KB
testcase_04 AC 1 ms
5,376 KB
testcase_05 AC 39 ms
5,376 KB
testcase_06 AC 40 ms
5,376 KB
testcase_07 AC 42 ms
5,376 KB
testcase_08 AC 39 ms
5,376 KB
testcase_09 AC 35 ms
5,376 KB
testcase_10 AC 37 ms
5,376 KB
testcase_11 AC 29 ms
5,376 KB
testcase_12 AC 23 ms
5,376 KB
testcase_13 AC 36 ms
5,376 KB
testcase_14 AC 26 ms
5,376 KB
testcase_15 AC 32 ms
5,376 KB
testcase_16 AC 3 ms
5,376 KB
testcase_17 AC 13 ms
5,376 KB
testcase_18 AC 26 ms
5,376 KB
testcase_19 AC 3 ms
5,376 KB
testcase_20 AC 41 ms
5,376 KB
testcase_21 AC 31 ms
5,376 KB
testcase_22 AC 27 ms
5,376 KB
testcase_23 AC 11 ms
5,376 KB
testcase_24 AC 4 ms
5,376 KB
testcase_25 AC 40 ms
5,376 KB
testcase_26 AC 17 ms
5,376 KB
testcase_27 AC 3 ms
5,376 KB
testcase_28 AC 30 ms
5,376 KB
testcase_29 AC 33 ms
5,376 KB
testcase_30 AC 29 ms
5,376 KB
testcase_31 AC 3 ms
5,376 KB
testcase_32 AC 18 ms
5,376 KB
testcase_33 AC 20 ms
5,376 KB
testcase_34 AC 9 ms
5,376 KB
testcase_35 WA -
testcase_36 AC 5 ms
5,376 KB
testcase_37 AC 16 ms
5,376 KB
testcase_38 AC 38 ms
5,376 KB
testcase_39 AC 14 ms
5,376 KB
testcase_40 AC 2 ms
5,376 KB
testcase_41 AC 7 ms
5,376 KB
testcase_42 AC 2 ms
5,376 KB
testcase_43 AC 2 ms
5,376 KB
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ソースコード

diff # 

#include <algorithm>
#include <array>
#include <bitset>
#include <cassert>
#include <cmath>
#include <iomanip>
#include <iostream>
#include <map>
#include <numeric>
#include <queue>
#include <set>
#include <stack>
#include <string>
#include <tuple>
#include <utility>
#include <unordered_map>
#include <unordered_set>
#include <vector>

#define OVERRIDE(a, b, c, d, ...) d
#define REP2(i, n) for (i32 i = 0; i < (n); ++i)
#define REP3(i, m, n) for (i32 i = (m); i < (n); ++i)
#define REP(...) OVERRIDE(__VA_ARGS__, REP3, REP2)(__VA_ARGS__)
#define PER(i, n) for (i32 i = (n) - 1; i >= 0; --i)
#define ALL(x) begin(x), end(x)

using namespace std;

using u32 = unsigned int;
using u64 = unsigned long long;
using u128 = __uint128_t;
using i32 = signed int;
using i64 = signed long long;
using i128 = __int128_t;

template <typename T>
using Vec = vector<T>;

template <typename T>
bool chmin(T &x, const T &y) {
    if (x > y) {
        x = y;
        return true;
    }
    return false;
}
template <typename T>
bool chmax(T &x, const T &y) {
    if (x < y) {
        x = y;
        return true;
    }
    return false;
}

[[maybe_unused]] constexpr i32 inf = 1000000100;
[[maybe_unused]] constexpr i64 inf64 = 3000000000000000100;

struct SetIO {
    SetIO() {
        ios::sync_with_stdio(false);
        cin.tie(nullptr);
        cout << fixed << setprecision(10);
    }
} set_io;

// ----- "mod_int.hpp" -----
#ifndef MOD_INT_HPP
#define MOD_INT_HPP

#include <cassert>
#include <type_traits>
#include <iostream>

// ----- "utils.hpp" -----
#ifndef UTILS_HPP
#define UTILS_HPP

#include <cstddef>
 
 
constexpr bool is_prime(unsigned n) {
    if (n == 0 || n == 1)
        return false;
    for (unsigned i = 2; i * i <= n; ++i) {
        if (n % i == 0)
            return false;
    }
    return true;
}
 
constexpr unsigned mod_pow(unsigned x, unsigned y, unsigned mod) {
    unsigned ret = 1, self = x;
    while (y != 0) {
        if (y & 1)
            ret = (unsigned long long) ret * self % mod;
        self = (unsigned long long) self * self % mod;
        y >>= 1;
    }
    return ret;
}
 
template <unsigned mod>
constexpr unsigned primitive_root() {
    static_assert(is_prime(mod), "`mod` must be a prime number.");
    if (mod == 2)
        return 1;
    
    unsigned primes[32] = {};
    std::size_t it = 0;
    {
        unsigned m = mod - 1;
        for (unsigned i = 2; i * i <= m; ++i) {
            if (m % i == 0) {
                primes[it++] = i;
                while (m % i == 0)
                    m /= i;
            }
        }
        if (m != 1)
            primes[it++] = m;
    }
    for (unsigned i = 2; i < mod; ++i) {
        bool ok = true;
        for (std::size_t j = 0; j < it; ++j) {
            if (mod_pow(i, (mod - 1) / primes[j], mod) == 1) {
                ok = false;
                break;
            }
        }
        if (ok)
            return i;
    }
    return 0;
}

#endif
// ----- "utils.hpp" -----

template <typename T, std::enable_if_t<std::is_signed_v<T>> * = nullptr>
constexpr unsigned safe_mod(T x, unsigned mod) {
    if (x < 0) {
        return (unsigned) (x % mod + mod);
    } else {
        return (unsigned) (x % mod);
    }
}

template <typename T, std::enable_if_t<std::is_unsigned_v<T>> * = nullptr>
constexpr unsigned safe_mod(T x, unsigned mod) {
    return (unsigned) (x % mod);
}

template <unsigned mod> class ModInt {
    static_assert(mod != 0, "`mod` must not be equal to 0.");
    static_assert(mod < (1u << 31), "`mod` must be less than (1u << 31) = 2147483648.");
    
    unsigned val;
    
public:
    constexpr ModInt() : val(0) {}
    template <typename T> constexpr ModInt(T x) : val(safe_mod(x, mod)) {}
    
    static constexpr ModInt raw(unsigned x) {
        ModInt<mod> ret;
        ret.val = x;
        return ret;
    }
    
    constexpr unsigned get_val() const {
        return val;
    }
    
    constexpr ModInt operator+() const {
        return *this;
    }
    constexpr ModInt operator-() const {
        return ModInt<mod>(0u) - *this;
    }
    
    constexpr ModInt &operator+=(const ModInt &rhs) {
        val += rhs.val;
        if (val >= mod)
            val -= mod;
        return *this;
    }
    constexpr ModInt &operator-=(const ModInt &rhs) {
        if (val < rhs.val)
            val += mod;
        val -= rhs.val;
        return *this;
    }
    constexpr ModInt &operator*=(const ModInt &rhs) {
        val = (unsigned long long) val * rhs.val % mod;
        return *this;
    }
    constexpr ModInt &operator/=(const ModInt &rhs) {
        val = (unsigned long long) val * rhs.inv().val % mod;
        return *this;
    }
    
    friend constexpr ModInt operator+(const ModInt &lhs, const ModInt &rhs) {
        return ModInt<mod>(lhs) += rhs;
    }
    friend constexpr ModInt operator-(const ModInt &lhs, const ModInt &rhs) {
        return ModInt<mod>(lhs) -= rhs;
    }
    friend constexpr ModInt operator*(const ModInt &lhs, const ModInt &rhs) {
        return ModInt<mod>(lhs) *= rhs;
    }
    friend constexpr ModInt operator/(const ModInt &lhs, const ModInt &rhs) {
        return ModInt<mod>(lhs) /= rhs;
    }
    
    constexpr ModInt pow(unsigned x) const {
        ModInt<mod> ret = ModInt<mod>::raw(1);
        ModInt<mod> self = *this;
        while (x != 0) {
            if (x & 1)
                ret *= self;
            self *= self;
            x >>= 1;
        }
        return ret;
    }
    constexpr ModInt inv() const {
        static_assert(is_prime(mod), "`mod` must be a prime number.");
        assert(val != 0);
        return this->pow(mod - 2);
    }
    
    friend std::istream &operator>>(std::istream &is, ModInt<mod> &x) {
        is >> x.val;
        // x.val %= mod;
        return is;
    }
    
    friend std::ostream &operator<<(std::ostream &os, const ModInt<mod> &x) {
        os << x.val;
        return os;
    }
    
    friend bool operator==(const ModInt &lhs, const ModInt &rhs) {
        return lhs.val == rhs.val;
    }
};

[[maybe_unused]] constexpr unsigned mod998244353 = 998244353;
[[maybe_unused]] constexpr unsigned mod1000000007 = 1000000007;

#endif
// ----- "mod_int.hpp" -----

using Mint = ModInt<mod998244353>;

i32 fact_ord2(i32 n) {
    i32 ans = 0;
    for (i32 k = 2; k <= n; k *= 2) {
        ans += n / k;
    }
    return ans;
}

i32 comb_mod2(i32 n, i32 r) {
    return fact_ord2(n) - fact_ord2(r) - fact_ord2(n - r) == 0 ? 1 : 0;
}

int main() {
    i32 n;
    cin >> n;
    bool free = false;
    i32 cnt = 0, sum = 0;
    REP(i, n) {
        i32 x;
        cin >> x;
        if (x == -1) {
            if (comb_mod2(n - 1, i) == 1) {
                free = true;
            }
            ++cnt;
        } else {
            sum += comb_mod2(n - 1, i) * x;
        }
    }
    if (free) {
        cout << Mint::raw(2).pow(cnt - 1) << '\n';
    } else {
        cout << (sum % 2 == 1 ? 1 : 0) << '\n';
    }
}
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